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Finding the Fourth Proportional to 16,099.23, 22,218.23 and 8,929.86

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Solution

The fourth proportional to 16,099.23, 22,218.23 and 8,929.86 is: 12,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.23 : 22,218.23 = 8,929.86 : x
  2. Step 2: Convert to fraction form
    16,099.23/22,218.23 = 8,929.86/x
  3. Step 3: Cross multiply
    16,099.23x = 22,218.23 × 8,929.86
  4. Step 4: Simplify right side
    16,099.23x = 198,405,622.35
  5. Step 5: Solve for x
    x = 198,405,622.35/16,099.23
  6. Step 6: Final answer
    x = 12,323.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.